Iterative Solvers Exercise 3 : Galerkin Construction of Coarse Grid Operator
نویسنده
چکیده
(a) Define a linear mapping R2h h : R 5 → R3 according to the full weighting scheme (see Lecture slides). Setup the respective matrix R2h h . (b) Define a linear mapping Ph 2h : R 3 → R5 which prolongates a solution vector from the coarse to the fine grid using linear interpolation (see Lecture slides). Setup the respective matrix Ph 2h. (c) Based on the matrices R2h h , P h 2h and Ah, compute the coarse grid operator A2h := R 2h h AhP h 2h and compare it to Ah. What do you observe?
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